Estimating System Reliability Using Neoteric and Median RSS Data for Generalized Exponential Distribution

Hassan, Amal S.; Elshaarawy, Rasha S.; Onyango, Ronald; Nagy, Heba F.

doi:10.1155/2022/2608656

Cited by 7 publications

(6 citation statements)

References 40 publications

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“…Te study of stressstrength reliability in light of the ranked set sampling (RSS) technique has recently captured the interest of multiple writers due to its application in a variety of felds. Terefore, in our upcoming work, we want to address the problem of stress-strength estimation for a certain distribution in the class using the RSS method [26][27][28], and also, for applications of lifetime data [29][30][31].…”

Section: Discussionmentioning

confidence: 99%

A Compound Class of Unit Burr XII Model: Theory, Estimation, Fuzzy, and Application

Zayed

Hassan

Almetwally

et al. 2023

Scientific Programming

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The current research offers an enhanced three-parameter lifetime model that combines the unit Burr XII distribution with a power series distribution. The novel class of distribution is named the unit Burr XII power series (UBXIIPS). This compounding technique allows for the production of flexible distributions with strong physical meanings in domains such as biology and engineering. The UBXIIPS class includes the unit Burr XII Poisson (UBXIIP) distribution, the unit Burr XII binomial distribution, the unit Burr XII geometric distribution, and the unit Burr XII negative binomial distribution. The statistical properties of the class include formulas for the density and cumulative distribution functions, and limiting behaviour, moments and incomplete moments, entropy measures, and quantile function are provided. For estimating population parameters and fuzzy reliability for the UBXIIP model, maximum likelihood and Bayesian approaches are studied by the Metropolis–Hastings algorithm. For maximum likelihood estimators, the length of asymptotic confidence intervals is specified, whereas, for Bayesian estimators, the length of credible confidence intervals is assigned. A simulation investigation of the UBXIIP model was established to evaluate the performance of suggested estimates. In addition, the UBXIIP distribution is explored using real-world data. The UBXIIP distribution appears to offer some benefits in understanding lifetime data when compared to unit Weibull, beta, Kumaraswamy, Kumaraswamy Kumaraswamy, Marshall-Olkin Kumaraswamy, and Topp–Leone Weibull Lomax distributions.

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Section: Discussionmentioning

confidence: 99%

A Compound Class of Unit Burr XII Model: Theory, Estimation, Fuzzy, and Application

Zayed

Hassan

Almetwally

et al. 2023

Scientific Programming

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“…The samples are (n * , m * ) = (10, 10), (15,15), (20,20), (25,25), (30,30), (35,35), (40,40), (45,45), where n * = ntx =nt, and m * = mty =mt.…”

Section: Simulation Studymentioning

confidence: 99%

“…It's been widely employed in a variety of fields since then. Several studies, however, have looked at statistical inferences regarding the SS reliability (SSR) model using the RSS approach and its adaptations (see, for example [16][17][18][19][20][21][22]).…”

Section: Introductionmentioning

confidence: 99%

Estimation Study of Multicomponent Stress-Strength Reliability Using Advanced Sampling Approach

Hassan

Elshaarawy

Nagy

2024

Gazi University Journal of Science

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In this study, we analyze a multicomponent system with v independent and identical strength components X1, …, Xv and each of these components is exposed to a common random stress Y. The system is considered to be operating only if at least u out of v (1 u  v) strength variables exceeds the random stress. The estimate of system reliability is investigated, assuming strength and stress random variables follow the exponentiated exponential distribution with different shape parameters. The maximum likelihood estimator for system reliability is derived from ranked set sampling (RSS), neoteric RSS (NRSS) and median RSS (MRSS). Some accuracy measurements, such as mean squared errors and efficiencies, are used to examine the behaviour of various estimators. Simulation studies demonstrate that the NRSS scheme's reliability estimates are chosen above those of the RSS and MRSS schemes in the majority of situations. Theoretical research is explained through real data analysis

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“…Al-Omari et al [9] investigated R = P(Y < X) estimation in the case of exponentiated Pareto distribution, and Hassan et al [10] analysed R = P(Y < X) estimation in the case of generalized inverted exponential distribution. For more examples, see [11][12][13][14][15]. Different papers discussed inference on reliability estimation for a multi-component stress-strength model as [16,17] and Almetwally et al [18] discussed P(X < Y < Z) for the alpha power exponential model using progressive first failure.…”

Section: Introductionmentioning

confidence: 99%

Bayesian Estimation Using MCMC Method of System Reliability for Inverted Topp–Leone Distribution Based on Ranked Set Sampling

et al. 2022

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The current work focuses on ranked set sampling and a simple random sample as sampling approaches for determining stress–strength reliability from the inverted Topp–Leone distribution. Asymptotic confidence intervals are established, along with a maximum likelihood estimator of the parameters and stress–strength reliability. The reliability of such a system is assessed using the Bayesian approach under symmetric and asymmetric loss functions. The highest posterior density credible interval is constructed successively. The results are extracted using Monte Carlo simulation to compare the proposed estimators performance with different sample sizes. Finally, by looking at waiting time data and failure times of insulating fluid, the usefulness of the suggested technique is demonstrated.

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Estimating System Reliability Using Neoteric and Median RSS Data for Generalized Exponential Distribution

Cited by 7 publications

References 40 publications

A Compound Class of Unit Burr XII Model: Theory, Estimation, Fuzzy, and Application

A Compound Class of Unit Burr XII Model: Theory, Estimation, Fuzzy, and Application

Estimation Study of Multicomponent Stress-Strength Reliability Using Advanced Sampling Approach

Bayesian Estimation Using MCMC Method of System Reliability for Inverted Topp–Leone Distribution Based on Ranked Set Sampling

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